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Attractors Under Discretisation / by Xiaoying Han, Peter Kloeden

データ種別 電子書籍
出版者 Cham : Springer International Publishing : Imprint: Springer
出版年 2017

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URL オンライン

EB2937717


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書誌ID OB01037780
本文言語 英語
一般注記 Part I Dynamical systems and numerical schemes -- 1 Lyapunov stability and dynamical systems -- 2 One step numerical schemes -- Part II Steady states under discretization -- 3 Linear systems -- 4 Lyapunov functions -- 5 Dissipative systems with steady states -- 6 Saddle points under discretisation . Part III Autonomous attractors under discretization -- 7 Dissipative systems with attractors -- 8 Lyapunov functions for attractors -- 9 Discretisation of an attractor. Part IV Nonautonomous limit sets under discretization -- 10 Dissipative nonautonomous systems -- 11 Discretisation of nonautonomous limit sets -- 12 Variable step size -- 13 Discretisation of a uniform pullback attractor.- Notes -- References.
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Summary: This work focuses on the preservation of attractors and saddle points of ordinary differential equations under discretisation. In the 1980s, key results for autonomous ordinary differential equations were obtained – by Beyn for saddle points and by Kloeden & Lorenz for attractors. One-step numerical schemes with a constant step size were considered, so the resulting discrete time dynamical system was also autonomous. One of the aims of this book is to present new findings on the discretisation of dissipative nonautonomous dynamical systems that have been obtained in recent years, and in particular to examine the properties of nonautonomous omega limit sets and their approximations by numerical schemes – results that are also of importance for autonomous systems approximated by a numerical scheme with variable time steps, thus by a discrete time nonautonomous dynamical system
著者標目 *Han, Xiaoying
Kloeden, Peter
SpringerLink (Online service)
統一書名標目 SpringerBriefs in Mathematics,
件　名 LCSH:Mathematics
LCSH:Dynamics
LCSH:Ergodic theory
LCSH:Differential equations
LCSH:Numerical analysis
FREE:Mathematics
FREE:Numerical Analysis
FREE:Dynamical Systems and Ergodic Theory
FREE:Ordinary Differential Equations
分　類 LCC:QA297-299.4
DC23:518
巻冊次 ISBN:9783319619347 RefWorks出力（各巻）
print ; ISBN:9783319619330 RefWorks出力（各巻）
資料種別 機械可読データファイル
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